{
  "id": "1910.09898",
  "version": "v1",
  "published": "2019-10-22T11:30:20.000Z",
  "updated": "2019-10-22T11:30:20.000Z",
  "title": "On the motion of rigid bodies in a perfect fluid",
  "authors": [
    "Eduard Feireisl",
    "Václav Mácha"
  ],
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We consider the problem of motion of several rigid bodies immersed in a perfect compressible fluid. Using the method of convex integration we establish the existence of infinitely many weak solutions with {\\it a priori} prescribed motion of rigid bodies. In particular, the dynamics is completely \\emph{time--reversible} at the motion of rigid bodies although the solutions comply with the standard entropy admissibility criterion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-22T11:30:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rigid bodies",
      "perfect fluid",
      "standard entropy admissibility criterion",
      "convex integration",
      "perfect compressible fluid"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}